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198868416 = 2633972609
BaseRepresentation
bin10111101101001…
…11110111000000
3111212012120011220
423312213313000
5401402242131
631422235040
74633232205
oct1366476700
9455176156
10198868416
11a228a86a
1256725a80
133227c226
141c5a9cac
15126d3e96
hexbda7dc0

198868416 has 56 divisors (see below), whose sum is σ = 527700240. Its totient is φ = 66097152.

The previous prime is 198868403. The next prime is 198868471. The reversal of 198868416 is 614868891.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74920 + ... + 77528.

Almost surely, 2198868416 is an apocalyptic number.

198868416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263850120).

198868416 is an abundant number, since it is smaller than the sum of its proper divisors (328831824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198868416 is a wasteful number, since it uses less digits than its factorization.

198868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3011 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The square root of 198868416 is about 14102.0713372185. The cubic root of 198868416 is about 583.6985370984.

The spelling of 198868416 in words is "one hundred ninety-eight million, eight hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 397 794 1191 1588 2382 2609 3176 4764 5218 6352 7827 9528 10436 12704 15654 19056 20872 25408 31308 38112 41744 62616 76224 83488 125232 166976 250464 500928 1035773 2071546 3107319 4143092 6214638 8286184 12429276 16572368 24858552 33144736 49717104 66289472 99434208 198868416